An agent for a residental real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the montly rental cost for apartments. Toward the goal, the agent would ke to use the size of an apartment, as defined by square footage to predict the monthly rental cost The agent selects a sample of one-bedroom apartments and the data are shown Complete parts (a) through ( Monthly Rent (5) 97s 1.600 825 1.450 1,900 900 1,750 1.250 o Size (Square Feet 750 1250 1.050 1, 100 2.000 700 1.300 1,100 a. Construct a scatter plot Choose the correct graph below. OA OB. OD. 2.000 2.000 2.00 2.000- 2600 n 20 Sie b. Use the least-squares method to determine the regression coefficients be and b, -DRound to one decimal place as needed) b-DRound to one decimal place as needed) e. Interpret the meaning of b and b, in this problem Choose the comect answer below OA. For each increase of 1 souare foot in space. the monthly rent is expected to increase by b, dollars. Apartments in this neighborhood cost at least b dollars . OB. For each increase of 1 square foot in space. the monthly rent is epected to increase by b dollars. Apartments in this neighborhood cost at least b, dollars OC. For each increase of 1 square foot in space. the monthly rent is expected to increase by be dollars. Since Xcannot be zero, b, has no practical interpretation OD. For each increase of 1 souare foot in space. the monthly rent is expected to increase by b, dollars. Since X cannot be zero, b has no practical interpretation d. Predict the mean monthly rent for an apartment that has 1.000 square feet The predicted mean monthly rent for such an apartment is O (Round to the nearest cent as needed) e. Why would it not be appropriate to use the model to predict the monthly rent for apartments that have 500 square feet? OA. An apartment with 500 square feet is outside the relevant range for the independent variable. OB. The sice of an apartment has no effect on the morthly rent, according to this model. There must be another factor that contibutes to the rent price OC. The corelation between an apartments se and its monthly rent is too weak to use this model for such a prediction OD. The model predicts that the monthly rent for an apartment that has 500 square feet would be unrealistically low f. Two people are considering signing a lease for an apartment in this neighborhood. They are trying to decide behveen hvo apartments, one with 1.000 square feet for a monthly rent of $1.275 and the omer with 1.200 square feet for a montmly rent of $1.425. Based on (a) through (), which apartment is a better deal? Based on (a) through (d). the apartment with square feet is the better deal

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An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the
data are shown. Complete parts (a) through (f).
Monthly Rent (S)
975
1,600
825 1,450 1,900
900
1,750 1,250 p
Size (Square Feet)
750 1,250 1,050 1,100 2,000
700
1.300 1.100
a. Construct a scatter plot. Choose the correct graph below.
O A.
O B.
OC.
O D.
ARent (S)
2,000-
Q
ARent (5)
2.000
ARent (5)
2,000-
ARent ($)
2,000-
0-
0-
2.d00
Size (sq n)
2,00
Size (Sq n)
2,000
2,000
do0
Size (Sq n)
Size (Sq n)
b. Use the least-squares method to determine the regression coefficients bn and b,
bo = (Round to one decimal place as needed.)
b, =
|(Round to one decimal place as needed.)
c. Interpret the meaning of bn and b, in this problem. Choose the correct answer below.
A. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Apartments in this neighborhood cost at least b, dollars.
B. For each increase of 1 square foot in space, the monthly rent is expected to increase by bo dollars. Apartments in this neighborhood cost at least b, dollars.
O C. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Since X cannot be zero, b, has no practical interpretation.
O D. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Since X cannot be zero, b, has no practical interpretation.
d. Predict the mean monthly rent for an apartment that has 1,000 square feet.
The predicted mean monthly rent for such an apartment is S
(Round to the nearest cent as needed.)
e. Why would it not be appropriate to use the model to predict the monthly rent for apartments that have 500 square feet?
O A. An apartment with 500 square feet is outside the relevant range for the independent variable.
O B. The size of an apartment has no effect on the monthly rent, according to this model. There must be another factor that contributes to the rent price.
O c. The correlation between an apartment's size and its monthly rent is too weak to use this model for such a prediction.
O D. The model predicts that the monthly rent for an apartment that has 500 square feet would be unrealistically low.
f. Two people are considering signing a lease for an apartment in this neighborhood. They are trying to decide between two apartments, one with 1,000 square feet for a monthly rent of $1,275 and the other with 1,200 square feet for a monthly rent of S1,425. Based on (a) through (d), which apartment is a better deal?
Based on (a) through (d), the apartment with
V square feet is the better deal.
Transcribed Image Text:An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the data are shown. Complete parts (a) through (f). Monthly Rent (S) 975 1,600 825 1,450 1,900 900 1,750 1,250 p Size (Square Feet) 750 1,250 1,050 1,100 2,000 700 1.300 1.100 a. Construct a scatter plot. Choose the correct graph below. O A. O B. OC. O D. ARent (S) 2,000- Q ARent (5) 2.000 ARent (5) 2,000- ARent ($) 2,000- 0- 0- 2.d00 Size (sq n) 2,00 Size (Sq n) 2,000 2,000 do0 Size (Sq n) Size (Sq n) b. Use the least-squares method to determine the regression coefficients bn and b, bo = (Round to one decimal place as needed.) b, = |(Round to one decimal place as needed.) c. Interpret the meaning of bn and b, in this problem. Choose the correct answer below. A. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Apartments in this neighborhood cost at least b, dollars. B. For each increase of 1 square foot in space, the monthly rent is expected to increase by bo dollars. Apartments in this neighborhood cost at least b, dollars. O C. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Since X cannot be zero, b, has no practical interpretation. O D. For each increase of 1 square foot in space, the monthly rent is expected to increase by b, dollars. Since X cannot be zero, b, has no practical interpretation. d. Predict the mean monthly rent for an apartment that has 1,000 square feet. The predicted mean monthly rent for such an apartment is S (Round to the nearest cent as needed.) e. Why would it not be appropriate to use the model to predict the monthly rent for apartments that have 500 square feet? O A. An apartment with 500 square feet is outside the relevant range for the independent variable. O B. The size of an apartment has no effect on the monthly rent, according to this model. There must be another factor that contributes to the rent price. O c. The correlation between an apartment's size and its monthly rent is too weak to use this model for such a prediction. O D. The model predicts that the monthly rent for an apartment that has 500 square feet would be unrealistically low. f. Two people are considering signing a lease for an apartment in this neighborhood. They are trying to decide between two apartments, one with 1,000 square feet for a monthly rent of $1,275 and the other with 1,200 square feet for a monthly rent of S1,425. Based on (a) through (d), which apartment is a better deal? Based on (a) through (d), the apartment with V square feet is the better deal.
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